Wesley, Archie and Jeremy had a total of 449 stamps at first. After a week, the number of Wesley's stamps became 4 times the number of stamps he had at first. The number of Archie's stamps decreased by 218. Jeremy had one-quarter as many stamps as he had at first. In the end, the three boys had the same number of stamps.
- How many stamps did Jeremy have at first?
- What was the total number of stamps that the three boys had in the end?
|
Wesley |
Archie |
Jeremy |
Total |
Before |
1 u |
4 u + 218 |
16 u |
|
Change |
x 4 |
- 218 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of stamps at first
=
1 u + 4 u + 218 + 16 u
= 21 u + 218
21 u + 218 = 44921 u = 449 - 21821 u = 231
1 u = 231 ÷ 21 = 11 Number of stamps that Jeremy had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 11 = 176(b)Total number of stamps that the three boys had at the end = 12 u = 12 x 11 = 132 Answer(s): (a) 176; (b) 132